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Finding the Fourth Proportional to 20,205.90, 30,310.48 and 5,414.70

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Solution

The fourth proportional to 20,205.90, 30,310.48 and 5,414.70 is: 8,122.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205.90 : 30,310.48 = 5,414.70 : x
  2. Step 2: Convert to fraction form
    20,205.90/30,310.48 = 5,414.70/x
  3. Step 3: Cross multiply
    20,205.90x = 30,310.48 × 5,414.70
  4. Step 4: Simplify right side
    20,205.90x = 164,122,156.06
  5. Step 5: Solve for x
    x = 164,122,156.06/20,205.90
  6. Step 6: Final answer
    x = 8,122.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.